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Simplifying 0.5(n + -17) = 1.5(n + -6) Reorder the terms: 0.5(-17 + n) = 1.5(n + -6) (-17 * 0.5 + n * 0.5) = 1.5(n + -6) (-8.5 + 0.5n) = 1.5(n + -6) Reorder the terms: -8.5 + 0.5n = 1.5(-6 + n) -8.5 + 0.5n = (-6 * 1.5 + n * 1.5) -8.5 + 0.5n = (-9 + 1.5n) Solving -8.5 + 0.5n = -9 + 1.5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1.5n' to each side of the equation. -8.5 + 0.5n + -1.5n = -9 + 1.5n + -1.5n Combine like terms: 0.5n + -1.5n = -1n -8.5 + -1n = -9 + 1.5n + -1.5n Combine like terms: 1.5n + -1.5n = 0.0 -8.5 + -1n = -9 + 0.0 -8.5 + -1n = -9 Add '8.5' to each side of the equation. -8.5 + 8.5 + -1n = -9 + 8.5 Combine like terms: -8.5 + 8.5 = 0.0 0.0 + -1n = -9 + 8.5 -1n = -9 + 8.5 Combine like terms: -9 + 8.5 = -0.5 -1n = -0.5 Divide each side by '-1'. n = 0.5 Simplifying n = 0.5
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